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Simplifying 5(1 + 3n) + -2n = -19 + 5n (1 * 5 + 3n * 5) + -2n = -19 + 5n (5 + 15n) + -2n = -19 + 5n Combine like terms: 15n + -2n = 13n 5 + 13n = -19 + 5n Solving 5 + 13n = -19 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 5 + 13n + -5n = -19 + 5n + -5n Combine like terms: 13n + -5n = 8n 5 + 8n = -19 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + 8n = -19 + 0 5 + 8n = -19 Add '-5' to each side of the equation. 5 + -5 + 8n = -19 + -5 Combine like terms: 5 + -5 = 0 0 + 8n = -19 + -5 8n = -19 + -5 Combine like terms: -19 + -5 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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